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3 years ago

What is the constant term in the polynomial expression -7x2 + 32x + 240, and what does it represent?

Mathematics

1 answer:

timama [110]3 years ago

5 0

Answer:

The constant term is 240. A constant term represents a fixed value. In other words, a term that does not change.

Step-by-step explanation:

In the polynomial expression given, the first and second terms are dependent of x, which means whatever the value x is, the terms will change. For example, if x = 2, we have -7(4) + 32(2) + 240. As you can see the constant never changes because it does not rely on a variable; it is constant.

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find the measure of the central angle of a circle if it's minor are length is 14π and the radius is 18 inches

MrMuchimi

Step-by-step explanation:

Length of arc of a circle is given as:

$l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ \therefore \: 14\pi = \frac{ \theta}{360 \degree} \times 2\pi \: \times 18 \\ \\ \therefore \:\theta = \frac{14\pi \times \: 360 \degree }{2\pi \: \times 18} \\ \\ \therefore \:\theta = \frac{7 \times \: 360 \degree }{18} \\ \\ \therefore \:\theta = 7 \times \: 20 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 140 \degree}}$

Thus, the measure of central angle is 140°.

7 0

3 years ago

An aquarium tank holds 475 liters of water. How much is this in gallons? Use the following conversion: 1 gallon is 3.8 liters.

Mrrafil [7]

$\bf \begin{array}{ccll}
liters&gallons\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
3.8&1\\
475&g
\end{array}\implies \cfrac{3.8}{475}=\cfrac{1}{g}\implies g=\cfrac{475\cdot 1}{3.8}$

3 0

3 years ago

HELP PLEASE!!! I WILL FIVE STAR!!

ivann1987 [24]

Answer:

Step-by-step explanation:

You can't answer c. There is not enough information. Other than there are 14 boys that went, you know nothing about how many went.

Girls going = (3/5) * 20 = 12

Girls not going = 20 - 12 = 8

4 0

3 years ago

An equation that defines y as a function of x is given. a. solve for y in terms of x and

Ymorist [56]

Answer:

f(x) = 2x -2/3
f(3) = 5 1/3

Step-by-step explanation:

We solve an equation for a specific variable by using inverse operations to undo what is done to the variable. The resulting function is evaluated by substituting the given value for the variable.

We are given the equation ...

6x -3y = 2

Solving for y, we get ...

6x -2 = 3y . . . . . add 3y-2 to both sides

2x -2/3 = y . . . . . divide by 3

f(x) = 2x -2/3 . . . . write using functional notation

To find f(3), we use x=3 in the function.

f(3) = 2(3) -2/3 = 6 -2/3

f(3) = 5 1/3

4 0

2 years ago

Plz help!!! ASAP! GIVE BRAINLIEST AND GIVING POINTS!!!!!

Studentka2010 [4]

Answer:

-8

Step-by-step explanation:

-8m⁴ n⁴

m = 0.5 = 1/2

n = 2

Substitute

-8 * (1/2)⁴ * (2)⁴

-8 * (1/16) * (16)

-8

4 0

2 years ago